# ZarankiewiczDB,

an online database of Zarankiewicz numbers.

## z(3,3 | 3,3) = 27

 $I$ $I$ $I$ $I$ $\alpha$ $\alpha^2$ $I$ $\alpha^2$ $\alpha$

The quotient matrix for the finite projective plane of order 3. $I$ is the identity, and $\alpha$ is a 3-cycle.

weight = 27, submitted by Andrew Kay on April 22nd, 2016 (link, raw)

 $I$ $I$ $\alpha$ $I$ $\alpha$ $I$ $\alpha$ $I$ $I$

$I$ is the identity and $\alpha$ is a 3-cycle. The $I$ entries form an extremal 3x3 rectangle-free matrix, showing that the finite projective plane of order 3 is sub-similar.

weight = 27, submitted by Andrew Kay on April 22nd, 2016 (link, raw)

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